The majorant method in the theory of newton-kantorovich approximations and the pták error estimates

1 January 1987

journal article
research article
Published by Taylor & Francis in Numerical Functional Analysis and Optimization

Vol. 9 (5-6) , 671-684
https://doi.org/10.1080/01630568708816254

Abstract

For a certain modified Newton-Kontorovich method, sharp error estimates are obtained by menas of the majorant method. In particular, these error estimates generalize Pták's estimates for the usual Newton-Kontorovich method.

Keywords

CLASSIFICATION: 49D15
CLASSIFICATION: 47H17

This publication has 2 references indexed in Scilit:

Sharp error bounds for Newton's process
Numerische Mathematik, 1980
The rate of convergence of Newton's process
Numerische Mathematik, 1975